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College Physics (Urone)
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College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

How does modern relativity modify the law of conservation of momentum?

Relativistic momentum \({\rm{p}}\) is said to be the classical momentum which is multiplied by the relativistic factor \({\rm{ y}}\).

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Define Special Relativity

The special theory of relativity, sometimes known as special relativity, is a physical theory that describes how space and time interact. Theoretically, this is known as STR theory.

Step 2: Explanation 

The equation \({\rm{p = mv}}\) is the classical momentum formula. Instead of the velocity of the frame \({\rm{v}}\) used in classical physics, contemporary relativity modified the momentum to \({\rm{p = \gamma mu}}\).

Here, \({\rm{\gamma = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}\frac{{{{\rm{v}}^{\rm{2}}}}}{{{{\rm{c}}^{\rm{2}}}}}} }}\) and \({\rm{u}}\) is the velocity of the moving object relative to an observer.

Therefore, Classical momentum is multiplied by the relativistic factor\({\rm{ y}}\) to get relativistic momentum \({\rm{p}}\).

Most popular questions for Physics Textbooks

If you use an Earth-based telescope to project a laser beam onto the Moon, you can move the spot across the Moon's surface at a velocity greater than the speed of light. Does this violate modern relativity? (Note that light is being sent from the Earth to the Moon, not across the surface of the Moon.)

The Sun produces energy at a rate of \(4.00{\rm{ }} \times {\rm{ }}{10^{26}}\,W\) by the fusion of hydrogen.

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Explain the meaning of the terms “red shift” and “blue shift” as they relate to the relativistic Doppler effect.

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